The number x is a two-digit number.


• When x is divided by 9, the remainder is 1.


• When x is divided by 10, the remainder is 3.


What is the remainder when x is divided by 11?


Be sure to explain how you got your answer.

Answers

Answer 1

Answer:

x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or [tex]6\frac{7}{11}[/tex] or  ( 6 remainder 7)

Step-by-step explanation:

1. In order to determine the value of x, we will first find a two-digit multiple of 9 that has a unit value of (2)

Multiples of 9 = 18, 27, 36, 45, 54, 63, 72, 81, ...

from the above, the multiple of 9 that has a unit value of '2' is 72 ( 7 tens and 2 units)

2. Next, we will add 1 to the multiple of 9 found in step 1 above, to create a unit value of '3'. This is because when the number is divided by 9, we want to have a remainder of 1, and when the number is divided by 10, and we want to have a remainder of 3

72 + 1 = 73 ( 7 tens and 3 units)

3. Finally, let us divide the number in step 2 above by 10

73 ÷ 10 = 7 remainer 3.

Now the number 73 satisfies the three conditions given in the question:

1) The number x is a two-digit number.

73 is a two-digit number  

2) When x is divided by 9, the remainder is 1.

73 ÷ 9 = 8 remainder 1

3) When x is divided by 10, the remainder is 3.

73 ÷ 10 = 7 remainder 3

∴ x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or ( 6 remainder 7)


Related Questions

Solve 3(y-2)=6(y-1)-3y

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

1. First you want to distribute what is inside the parenthesis. You would want to do 3 × y + 3 × -2 = 6 × y + 6 × -1 -3y.

2. Now that the equation has been distributed, you want to simplify it. 3 × y is equal to 3y, and 3 × -2 is equal to -6. So, 3y + -6 = 6 × y + 6 × -1 -3y.

3. Now you want to simplify the right side of the equation. So, 6 times y is equal to 6y, and 6 × -1 is equal to -6. Now the new equation is 3y + -6 =6y + -6-3y.

4. Also in an equation, if there is a + and - sign together like this +-, it would equal to -. So, 3y + -6 = 6y + -6-3y, is equal to 3y - 6 = 6y -6-3y.

5. Now you want to combine like terms on the right side of the equation. 3y - 6 = 3y -6 because 6y-3y is equal to 3y.

6. Now the rest of the equation has to be combined using like terms. Start by moving the -3y fromthe right side of the equation to the 3y on the left side of the equation. -3y plus 3y is equal to zero so it cancels out. The 3y on the left side plus another 3y is equal to 6y.

7. Now the equation is 6y - 6 = 6y - 6

8. You can add 6 to the -6 on both sides of the equation which would cancel out on both sides leaving you with an equation of 6y = 6y.

9. Divide both sides by 6 to get y = y.

10. This equation means that all real numbers are solutions to this equation. In other words, no matter what real number you use in this equation, it would come out to be true. For example, if y = 3, 3 = 3, so the equation is true.

How does the graph of y = ax2 + c compare to the graph of y
ax2

Answers

Answer:

[tex]y = a {x}^{2} + c \\ y = a {x}^{2} \\ \\ y = a {x}^{2} + c \: \: \: is \: translated \: along \: the \: y \: axis\: for \: c[/tex]

Can someone help me please ​

Answers

Answer:

the answer is 2 hope this help

Step-by-step explanation:

i don’t understand this

Answers

Answer:

it means that

y–x+6.8= 7.2–(–2)+6.8

–(–) will change into +

=7.2+2+6.8

=7.2+2.0+6.8

=16

hope u understood.....

Please mark me as Brainliest

What’s the smallest value of n?

Answers

0 is the only thing that makes sense to me

!!TIMED!!PLEASE HELP

Answers

Answer:

y=3x+1

Step-by-step explanation:

Since the number is going up by three but I could be wrong

Answer: y=3x+3
Steps

Which of the following does not have only one solution.
a. x+3 = 7
b. 7x = 4x + 2
c. (x+3)(x - 2) = 0
d. -3= 2x – 5

Answers

Answer:

A. x+3=7

[tex]a. \: x + 3 = 7 \\ or \: x = 7 - 3 \\ or \: x = 4[/tex]

Thank you ☺️☺️

yoooo can someone help meeee thanks In advance

Answers

Answer:

The slope of F = 5.

Not 100% sure.

Simplify the expression

Answers

Answer:

B

Step-by-step explanation:

1. If x+ 2 = 7, then x=5.
Converse:
Inverse:
Contrapositive:

Answers

Answer:

Converse: if 5=x then x+2=7

Inverse: if x+2 doesnt = 7 then x isnt 5

Contrapositive: if x doesnt equal five then x plus two doesnt equal seven

Step-by-step explanation:

We just did this last week :)

what they said is right :) lol gj hope u passed it so good job!

Waterco is filling barrels with waste water at the rate of 8 quarts per hour. The recycling facility picks up 150 barrels on each trip, and each barrel holds 15 quarts of wastewater. How many days are between each pick up? Show your work to receive full credit. Round answer to the tenths place 

Answers

Answer:

11.7 days

Step-by-step explanation:

Given that:

Filling rate = 8 quarts per hour

150 barrels picked up per trip

One barrel = 15 quarts of waste water

Barrel picked up per trip = 150 barrels

Number of quarts per barrel = 15 quarts

Total quantity of waste water = (150 * 15) = 2250 quarts

Filling rate = 8 quarts per hour

Time taken = quantity / rate

Time taken in days = 2250 quarts /(8*24) = 11.72

11.7 days

Please answer as soon as possible! Brainliest and lots of points! Please give good details and make sense! Thanks! (See attachment for question)

Answers

Answer:

no because they did not multiply the whole numbers and just multiplied the powers

Step-by-step explanation:

1/8 to decimal and
10/11 to decimal

Answers

Answer:

Step-by-step explanation:

1

Answer: 1 divided by 8= 0.125

10 divided by 11= 0.90^

Step-by-step explanation:

Please and thx lol lll

Answers

the answer would be 16

Answer:

16

Step-by-step explanation:

took me 5m

Solve for x 6x-18-3x<27-2x

Answers

Answer:

x=9

Step-by-step explanation: here^

carlos read 40 pages of a book in 50 minutes. how many pages should he be able to read in 80 minutes​

Answers

Answer:

70

Step-by-step explanation

i need help
pls help me

Answers

Answer:

c 1234

Step-by-step explanation:

1/3,4/5,4/9,0.6
order each set of number from least to greatest

Answers

Answer:

1/3 , 4/9, 4/5, .6

Step-by-step explanation:

1/3 = .3333... 4/5 = .8 4/9 = .4444... .6

Answer:

1\3 4\9  4\5, 0.6

Step-by-step explanation:

1.2 × 10e4− 1.5 × 10e3− 2.2 × 10e2 in scientific notation

Answers

Answer: 4.5×10^9

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. The sign of the exponent will depend on the direction you are moving the decimal.

4.5

×10

9

That answer is correct, I checked:)

Find f(-5) if f(x) = |x + 1|.
A)6
B)5
C)4

Answers

The answer would be C)5

Which value claims that 3.657 is a rational number

Answers

Step-by-step explanation:

It is rational because you can write it as 3 657/1000 which is a fraction. It also is not repeating with no pattern which also means it is rational.

Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56

Answers

Answer:

16+56

Step-by-step explanation:

8(2 + 7)

=8*2+8*7

16+56

8(2+7)=
8(9)=
72

the only answer that equals the same as 72 in the choices is the last one..

16+56=
72

Bridget went fishing with her dad. Bridget Bridget caught the first fish of the day, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish.
Bridget's dad caught four fish. the first fish he caught weighed 2 more than 3 times a weight of the first fish caught that day. one fish weighed 4/5 in the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last one weighed 1/2 the weight of the first caught that day.

if all the fish Bridget caught have the same total weight as the fish her dad caught, then the first fish Bridget caught weighed ____ ounces in the first fish her dad caught weighed ____ ounces.​

Answers

Answer:

Bridget's first fish =f = 5 ounces

Bridget's dad first fish weighs 17 ounces

Step-by-step explanation:

Solution:

Bridget's fishes:

f ounces

2f ounces

3f+2 ounces

1/2f ounces

3/5f ounces

Total= f +2f + (3f+2) + 1/2f +3/5f

=3f + 3f + 2 + 5f+6f/10

=6f + 2 + 11f/10

=60f+11f/10 +2

=71/10f +2

Bridget's dad fishes

3f+2

4/5f

2f+4

1/2f

Total =(3f+2) + (2f+4) + 4/5f +1/2f

=3f+2+2f+4 + 8f+5f/10

=5f + 6 + 13/10f

= 50f+13f/10 + 6

=63/10f +6

Equate the total weight

71/10f +2=63/10f +6

Collect like terms

71/10f - 63/10f =6-2

71f-63f/10 = 4

8f/10=4

Cross product

8f=40

Divide both sides by 8

f=5

Bridget's first fish =f = 5 ounces

Bridget's dad first fish = 3f +2

=3(5)+2

=15+2

=17 ounces

Bridget's dad first fish weighs 17 ounces

find the slopes of the linear equations

Answers

Answer:

m is the slope.

b is the y intercept.

slope intercept is in the form: y = mx + b.

y - 4 = 3 (x - 2) [m = 3] [slope is 3]

y = 3/4x - 7 [m = 3/4] [slope is 3/4]

y + 8 = -6 (x - 1) [m = -6] [slope is -6]

y = -5x + 10 [m = -5] [slope is -5]

4x + 5y = 20 [m = -4/5] [slope is -4/5]

Explanation:

For all of these equations, make sure they are all in slope intercept form by isolating y completely, and getting it on the left side of the equation.

y - 4 = 3 (x - 2) → y - 4 = 3x - 6 → y = 3x - 2 → y = mx + b.y = 3/4x - 7 → y = mx + by + 8 = -6 (x - 1) → y + 8 = -6x + 1 →. y = -6x - 7 → y = mx + by = -5x + 10 → y = mx + b4x + 5y = 20 → 5y = -4x + 20 → y = -4/5x + 4 → y = mx + b

need geometry help asap please

Answers

Answer:

x = 20

Step-by-step explanation:

You're in luck I take H geometry.

What I'm going to do is this. 4x - 18 and 3x + 2 are alternate interior angles so they equal the same, so use this equation.

4x -18 = 3x + 2 (add 18 on both sides)

4x = 3x + 20 (minus 3x on both sides)

x = 20

plug in

4(20) - 18 = 3(20) + 2

80 - 18 = 60 + 2

62 = 62

You read 9.75 pages in your science book and 24.5 pages of a play for English class
It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?

Answers

Answer: 1. You have to multiply 9.75x1.2= 11.7

2.You have to multiply 24.5x0.8= 20.4

3. Add the to products 11.7+20.4= 32.1

4. Answer is- 31.3 minutes

Step-by-step explanation: Hopefully this helped a lot ;D

how do you do this ??​

Answers

Answer:

Step-by-step explanation:

There are my notes for that stuff. I hope you understand cause I'm having trouble with it too. Just ask any questions if you still need help maybe i can help.

which of the following number is negative chose all that apply ​

Answers

Answer: B,C,D,E

Step-by-step explanation:

B. A - 2 would be lower than one because 2 is bigger than A.

C. Negative B is a negative, obviously.

D. B has to be at least negative 2, and A is only about 1.5, so added together, these numbers will be negative.

E. Same thing as last time pretty much.

Been here for hours please help me

Answers

The unit rate is $60.20 ÷ 5.  Solve that (that's what goes in the 1 hour box) and then multiply it by each number of hours. If you want to comment with your answer I can tell you if it's right. :)

(04.01 MC) If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (1 point) {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}

Answers

Answer:

(0,4) (1,6) (2,8)

Step-by-step explanation:  

4-4=2(0)

6-4=2(1)

8-4=2(2)

(0,4) (1,6) (2,8) Hope this helped

     

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